Apply Green's Theorem to Evaluate the Integral $$\oint _ { C } \left( y ^ { 2 } + 4 \right) d x + \left( x ^ { 2 } + 6 \right) d y$$

question 105

Multiple Choice

Apply Green's Theorem to evaluate the integral.
- $$\oint _ { C } \left( y ^ { 2 } + 4 \right) d x + \left( x ^ { 2 } + 6 \right) d y$$
$C$ : The triangle bounded by $x = 0 , x + y = 1 , y = 0$

• A) 4
• B) \(- 3\)
• C) 0
• D) \(\frac { 2 } { 3 }\)

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